An Introduction to Reaction-diffusion Theory
Published on 1. June 2020
Book
Hardback
320 pages
978-0-521-83115-4 (ISBN)
Description
Rapidly developing research areas such as mathematical biology, ecology, demography and chemistry often depend on underlying theory from reaction and diffusion. Aimed at upper-undergraduate and MSc students, this book provides a solid grounding in the mathematical ideas involved, supplementing these with numerous examples to illustrate their application.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Illustrations
45 line diagrams
ISBN-13
978-0-521-83115-4 (9780521831154)
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Schweitzer Classification
Content
Introduction; 1. The linear diffusion equation; 2. Reaction rate equations and the scalar reaction-diffusion equation; 3. Existence an Uniqueness; 4. Maximum principles and comparison theorems; 5. Equilibrium states and stability; 6. Steady states and stability; 7. Travelling waves; 8. Blow-up phenomena; 9. Non-linear diffusion; 10. Singular reaction phenomena; 11. Reaction-diffusion systems; 12. Asymptotic methods;